Answer:
f(g(x)) = -2x² + 5x + 1
Explanation:
The functions f(x) and g(x) are equal to:
f(x) = x + 1
g(x) = -2x² + 5x
Then, to calculated f(g(x)), we need to take the function f(x) and subtitute x by g(x) as:
f(x) = x + 1
f(g(x)) = g(x) + 1
Now, g(x) = -2x² + 5x, so f(g(x)) is equal to:
f(g(x)) = (-2x² + 5x) + 1
f(g(x)) = -2x² + 5x + 1
Therefore, the answer is:
f(g(x)) = -2x² + 5x + 1
